task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:repeated-division | n=106,base=8 | DIV:106/8=13,r:2 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:152 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 2, 8, 5 | [0,4,2,8,5] ; [0,2,4,8,5] ; [0,2,4,8,5] ; [0,2,4,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 0, 8, 1 | [0,9,4,8,1] ; [0,1,4,8,9] ; [0,1,4,8,9] ; [0,1,4,8,9] |
base_conversion | base_conversion:decomposition | n=177,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:2301 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+42=-7 | 7x+42=-7 ; x+6=-1 ; x=-1-6 ; x=-7 |
multidigit_addition | multidigit_addition:rounding-decomposition | 371+933 | round:380+933=1313 ; adjust:1313-9=1304 ; sum=1304 |
base_conversion | base_conversion:via-binary | n=98,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1100010 |
list_summation | list_summation:right-to-left | 3, 4, 8, 0 | 8+0=8 ; 4+8=12 ; 3+12=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 1, 8, 7 | [1,4,2,8,7] ; [1,2,4,8,7] ; [1,2,4,8,7] ; [1,2,4,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,5) | D:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-6 | 6x-30=-6 ; 6x=24 ; x=4 |
list_summation | list_summation:right-to-left | 7, 5, 1, 5 | 1+5=6 ; 5+6=11 ; 7+11=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 306+708 | round:310+708=1018 ; adjust:1018-4=1014 ; sum=1014 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 4, 2, 5, 0 | [3,2,4,5,0] ; [3,2,4,0,5] ; [2,3,4,0,5] ; [2,3,0,4,5] ; [2,0,3,4,5] ; [0,2,3,4,5] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-30=12 | 6x-30=12 ; x=(12--30)/6 ; x=42/6 ; x=7 |
base_conversion | base_conversion:decomposition | n=241,base=16 | TERM:15*16^1=240 ; TERM:1*16^0=1 ; OUT:F1 |
list_summation | list_summation:left-to-right | 0, 2, 6, 2 | 0+2=2 ; 2+6=8 ; 8+2=10 |
list_summation | list_summation:left-to-right | 0, 7, 0, 7 | 0+7=7 ; 7+0=7 ; 7+7=14 |
list_summation | list_summation:right-to-left | 1, 9, 2, 8 | 2+8=10 ; 9+10=19 ; 1+19=20 |
list_summation | list_summation:left-to-right | 3, 0, 0, 3 | 3+0=3 ; 3+0=3 ; 3+3=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 753+206 | d2:3+6+0=9→w9,c0 ; d1:5+0+0=5→w5,c0 ; d0:7+2+0=9→w9,c0 ; sum=959 |
list_summation | list_summation:left-to-right | 3, 4, 7, 1 | 3+4=7 ; 7+7=14 ; 14+1=15 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 1, 0, 6, 9 | [0,1,8,6,9] ; [0,1,8,6,9] ; [0,1,6,8,9] ; [0,1,6,8,9] |
list_summation | list_summation:pairwise | 2, 5, 2, 5 | 2+5=7 ; 2+5=7 ; 7+7=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 7, 3, 8, 6 | [5,8,3,7,6] ; [8,5,3,7,6] ; [8,7,3,5,6] ; [6,7,3,5,8] ; [7,6,3,5,8] ; [5,6,3,7,8] ; [6,5,3,7,8] ; [3,5,6,7,8] ; [5,3,6,7,8] ; [3,5,6,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-18=63 | 9x-18=63 ; 9x=81 ; x=9 |
base_conversion | base_conversion:decomposition | n=230,base=8 | TERM:3*8^2=192 ; TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:346 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-40=-56 | 8x-40=-56 ; x+-5=-7 ; x=-7--5 ; x=-2 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-20=-15 | 5x-20=-15 ; x+-4=-3 ; x=-3--4 ; x=1 |
list_summation | list_summation:pairwise | 5, 2, 2, 5 | 5+2=7 ; 2+5=7 ; 7+7=14 |
list_summation | list_summation:left-to-right | 4, 0, 2, 8 | 4+0=4 ; 4+2=6 ; 6+8=14 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 0, 3, 4, 2 | [0,9,3,4,2] ; [0,3,9,4,2] ; [0,3,4,9,2] ; [0,2,3,4,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+40=45 | 5x+40=45 ; x=(45-40)/5 ; x=5/5 ; x=1 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 6, 4, 5 | [3,6,9,4,5] ; [3,6,4,9,5] ; [3,6,4,5,9] ; [3,4,6,5,9] ; [3,4,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 460+788 | d2:0+8+0=8→w8,c0 ; d1:6+8+0=14→w4,c1 ; d0:4+7+1=12→w2,c1 ; sum=1248 |
multidigit_addition | multidigit_addition:left-to-right-partials | 829+876 | p100:800+800=1600 ; p10:20+70=90 ; p1:9+6=15 ; sum=1600+90+15=1705 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+18=-6 | 6x+18=-6 ; 6x=-24 ; x=-4 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 1, 8, 6, 3 | [1,2,8,6,3] ; [1,2,6,8,3] ; [1,2,3,6,8] |
list_summation | list_summation:left-to-right | 4, 7, 9, 6 | 4+7=11 ; 11+9=20 ; 20+6=26 |
base_conversion | base_conversion:repeated-division | n=121,base=4 | DIV:121/4=30,r:1 ; DIV:30/4=7,r:2 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1321 |
list_summation | list_summation:right-to-left | 0, 5, 4, 3 | 4+3=7 ; 5+7=12 ; 0+12=12 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 3, 4, 5, 1 | [3,9,4,5,1] ; [3,4,9,5,1] ; [3,4,5,9,1] ; [1,3,4,5,9] |
list_summation | list_summation:left-to-right | 5, 8, 8, 8 | 5+8=13 ; 13+8=21 ; 21+8=29 |
base_conversion | base_conversion:via-binary | n=62,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:14 ; OUT:3E |
multidigit_addition | multidigit_addition:rounding-decomposition | 606+420 | round:610+420=1030 ; adjust:1030-4=1026 ; sum=1026 |
base_conversion | base_conversion:via-binary | n=140,base=16 | BINLEN:8 ; CHUNK:0:8 ; CHUNK:1:12 ; OUT:8C |
base_conversion | base_conversion:via-binary | n=108,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:12 ; OUT:6C |
list_summation | list_summation:right-to-left | 2, 2, 7, 0 | 7+0=7 ; 2+7=9 ; 2+9=11 |
multidigit_addition | multidigit_addition:rounding-decomposition | 407+947 | round:410+947=1357 ; adjust:1357-3=1354 ; sum=1354 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 3, 8, 8, 1 | 3+8=11 ; 8+1=9 ; 11+9=20 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 2, 6, 8 | [1,2,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 974+891 | round:980+891=1871 ; adjust:1871-6=1865 ; sum=1865 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 2, 9, 7, 0 | [8,7,9,2,0] ; [9,7,8,2,0] ; [0,7,8,2,9] ; [8,7,0,2,9] ; [2,7,0,8,9] ; [7,2,0,8,9] ; [0,2,7,8,9] ; [2,0,7,8,9] ; [0,2,7,8,9] |
base_conversion | base_conversion:repeated-division | n=206,base=4 | DIV:206/4=51,r:2 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3032 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+24=45 | 3x+24=45 ; x=(45-24)/3 ; x=21/3 ; x=7 |
base_conversion | base_conversion:decomposition | n=219,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:3*8^0=3 ; OUT:333 |
base_conversion | base_conversion:decomposition | n=250,base=8 | TERM:3*8^2=192 ; TERM:7*8^1=56 ; TERM:2*8^0=2 ; OUT:372 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 5, 9, 1, 3 | [2,5,1,9,3] ; [2,5,1,3,9] ; [2,1,5,3,9] ; [2,1,3,5,9] ; [1,2,3,5,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 842+815 | d2:2+5+0=7→w7,c0 ; d1:4+1+0=5→w5,c0 ; d0:8+8+0=16→w6,c1 ; sum=1657 |
base_conversion | base_conversion:decomposition | n=212,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11010100 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 497+437 | p100:400+400=800 ; p10:90+30=120 ; p1:7+7=14 ; sum=800+120+14=934 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 7, 2, 3, 9 | [5,9,2,3,7] ; [9,5,2,3,7] ; [9,7,2,3,5] ; [5,7,2,3,9] ; [7,5,2,3,9] ; [3,5,2,7,9] ; [5,3,2,7,9] ; [2,3,5,7,9] ; [3,2,5,7,9] ; [2,3,5,7,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,4) | R:(2,4) ; D:(3,4) ; D:(4,4) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=4 | 2x+16=4 ; 2x=-12 ; x=-6 |
list_summation | list_summation:right-to-left | 8, 3, 6, 6 | 6+6=12 ; 3+12=15 ; 8+15=23 |
multidigit_addition | multidigit_addition:left-to-right-partials | 254+278 | p100:200+200=400 ; p10:50+70=120 ; p1:4+8=12 ; sum=400+120+12=532 |
base_conversion | base_conversion:repeated-division | n=248,base=2 | DIV:248/2=124,r:0 ; DIV:124/2=62,r:0 ; DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11111000 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 9, 7, 1, 8 | [4,7,9,1,8] ; [4,7,1,9,8] ; [4,7,1,8,9] ; [4,1,7,8,9] ; [1,4,7,8,9] |
base_conversion | base_conversion:decomposition | n=254,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:11111110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 209+414 | p100:200+400=600 ; p10:0+10=10 ; p1:9+4=13 ; sum=600+10+13=623 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 4, 3, 0 | [7,8,4,3,0] ; [7,8,3,4,0] ; [3,4,7,8,0] ; [0,3,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+7=-14 | 7x+7=-14 ; x+1=-2 ; x=-2-1 ; x=-3 |
base_conversion | base_conversion:repeated-division | n=59,base=16 | DIV:59/16=3,r:11 ; DIV:3/16=0,r:3 ; OUT:3B |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 2, 9, 0, 5 | [2,4,9,0,5] ; [2,4,0,9,5] ; [0,2,4,9,5] ; [0,2,4,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-8=-8 | 8x-8=-8 ; x+-1=-1 ; x=-1--1 ; x=0 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,3) | D:(3,2) ; R:(3,3) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 0, 9, 6 | [4,5,0,9,6] ; [0,4,5,9,6] ; [0,4,5,9,6] ; [0,4,5,6,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 284+151 | d2:4+1+0=5→w5,c0 ; d1:8+5+0=13→w3,c1 ; d0:2+1+1=4→w4,c0 ; sum=435 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 2, 8, 9, 7 | [2,4,8,9,7] ; [2,4,8,7,9] ; [2,4,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 252+118 | p100:200+100=300 ; p10:50+10=60 ; p1:2+8=10 ; sum=300+60+10=370 |
list_summation | list_summation:left-to-right | 2, 2, 0, 7 | 2+2=4 ; 4+0=4 ; 4+7=11 |
multidigit_addition | multidigit_addition:left-to-right-partials | 471+166 | p100:400+100=500 ; p10:70+60=130 ; p1:1+6=7 ; sum=500+130+7=637 |
base_conversion | base_conversion:decomposition | n=103,base=16 | TERM:6*16^1=96 ; TERM:7*16^0=7 ; OUT:67 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-6=-16 | 2x-6=-16 ; x+-3=-8 ; x=-8--3 ; x=-5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+32=-16 | 8x+32=-16 ; x=(-16-32)/8 ; x=-48/8 ; x=-6 |
list_summation | list_summation:left-to-right | 2, 8, 7, 5 | 2+8=10 ; 10+7=17 ; 17+5=22 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 3, 0, 5 | [0,8,3,1,5] ; [0,1,3,8,5] ; [0,1,3,8,5] ; [0,1,3,5,8] |
base_conversion | base_conversion:repeated-division | n=190,base=4 | DIV:190/4=47,r:2 ; DIV:47/4=11,r:3 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2332 |
list_summation | list_summation:pairwise | 9, 9, 1, 1 | 9+9=18 ; 1+1=2 ; 18+2=20 |
base_conversion | base_conversion:via-binary | n=248,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:0 ; OUT:370 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+21=-21 | 7x+21=-21 ; 7x=-42 ; x=-6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
base_conversion | base_conversion:decomposition | n=235,base=8 | TERM:3*8^2=192 ; TERM:5*8^1=40 ; TERM:3*8^0=3 ; OUT:353 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-36=-24 | 6x-36=-24 ; x=(-24--36)/6 ; x=12/6 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 902+607 | p100:900+600=1500 ; p10:0+0=0 ; p1:2+7=9 ; sum=1500+0+9=1509 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 0, 6, 8, 1 | [0,2,6,8,1] ; [0,2,6,8,1] ; [0,2,6,8,1] ; [0,1,2,6,8] |
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